Volume benda putar yang terjadi apabila luasan yang di batasi oleh y=2x + 8, sumbu x, x= 0 dan x=3 di putar mengelilingi sumbuh x sejauh 360°
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karina96
372![\pi \int\limits^3_0(2x+8) ^{2} {x} \, dx \\ \pi \int\limits^3_04 x^{2} +32x+64 {x} \, dx \\ \pi [ \frac{4}{3} x^{3}+16 x^{2} +64x] _{0} ^{3} \\ \pi(\frac{4}{3} 3^{3}+16 3^{2} +64.3)-0 = 36+144+192= 372 \pi](https://tex.z-dn.net/?f=+%5Cpi++%5Cint%5Climits%5E3_0%282x%2B8%29+%5E%7B2%7D++%7Bx%7D+%5C%2C+dx++%5C%5C+%0A+%5Cpi++%5Cint%5Climits%5E3_04+x%5E%7B2%7D+%2B32x%2B64++%7Bx%7D+%5C%2C+dx++%5C%5C++%5Cpi++%5B+%5Cfrac%7B4%7D%7B3%7D++x%5E%7B3%7D%2B16+x%5E%7B2%7D+%2B64x%5D+_%7B0%7D++%5E%7B3%7D++%5C%5C++%5Cpi%28%5Cfrac%7B4%7D%7B3%7D++3%5E%7B3%7D%2B16+3%5E%7B2%7D+%2B64.3%29-0+%3D+36%2B144%2B192%3D+372+%5Cpi "\pi \int\limits^3_0(2x+8) ^{2} {x} \, dx \\ \pi \int\limits^3_04 x^{2} +32x+64 {x} \, dx \\ \pi [ \frac{4}{3} x^{3}+16 x^{2} +64x] _{0} ^{3} \\ \pi(\frac{4}{3} 3^{3}+16 3^{2} +64.3)-0 = 36+144+192= 372 \pi")
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